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30110331120 = 24352941105517
BaseRepresentation
bin11100000010101101…
…110011000011110000
32212201102220022012220
4130002231303003300
5443131221043440
621455452521040
72114106406632
oct340255630360
985642808186
1030110331120
1111851551481
125a03a80180
132abb1b509c
141658d68a52
15bb366e8d0
hex702b730f0

30110331120 has 160 divisors (see below), whose sum is σ = 98916793920. Its totient is φ = 7563386880.

The previous prime is 30110331089. The next prime is 30110331131. The reversal of 30110331120 is 2113301103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30110331120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232602 + ... + 338118.

It is an arithmetic number, because the mean of its divisors is an integer number (618229962).

Almost surely, 230110331120 is an apocalyptic number.

30110331120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30110331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49458396960).

30110331120 is an abundant number, since it is smaller than the sum of its proper divisors (68806462800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30110331120 is a wasteful number, since it uses less digits than its factorization.

30110331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105603 (or 105597 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30110331120 its reverse (2113301103), we get a palindrome (32223632223).

The spelling of 30110331120 in words is "thirty billion, one hundred ten million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 41 48 58 60 80 82 87 116 120 123 145 164 174 205 232 240 246 290 328 348 410 435 464 492 580 615 656 696 820 870 984 1160 1189 1230 1392 1640 1740 1968 2320 2378 2460 3280 3480 3567 4756 4920 5945 6960 7134 9512 9840 11890 14268 17835 19024 23780 28536 35670 47560 57072 71340 95120 105517 142680 211034 285360 316551 422068 527585 633102 844136 1055170 1266204 1582755 1688272 2110340 2532408 3059993 3165510 4220680 4326197 5064816 6119986 6331020 8441360 8652394 9179979 12239972 12662040 12978591 15299965 17304788 18359958 21630985 24479944 25324080 25957182 30599930 34609576 36719916 43261970 45899895 48959888 51914364 61199860 64892955 69219152 73439832 86523940 91799790 103828728 122399720 125459713 129785910 146879664 173047880 183599580 207657456 244799440 250919426 259571820 346095760 367199160 376379139 501838852 519143640 627298565 734398320 752758278 1003677704 1038287280 1254597130 1505516556 1881895695 2007355408 2509194260 3011033112 3763791390 5018388520 6022066224 7527582780 10036777040 15055165560 30110331120